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Write the slope intercept form of the equation of the line through the given point with the given slope through: (-3,4) slope =-5/3

User Sakinah
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We can use the point-slope form of a linear equation to find the equation of the line. The point-slope form is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

In this case, the given point is (-3, 4) and the slope is -5/3. Plugging these values into the point-slope form, we get:

y - 4 = (-5/3)(x - (-3))

Simplifying further, we have:

y - 4 = (-5/3)(x + 3)

To convert it into slope-intercept form (y = mx + b), we can distribute the -5/3:

y - 4 = (-5/3)x - 5

Then, we can isolate y by adding 4 to both sides:

y = (-5/3)x - 1

So, the slope-intercept form of the equation of the line is y = (-5/3)x - 1.
User Salim Djerbouh
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